324y^2+36y+1=0

Solution for 324y^2+36y+1=0 equation:

Simplifying
324y2 + 36y + 1 = 0

Reorder the terms:
1 + 36y + 324y2 = 0

Solving
1 + 36y + 324y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + 18y)(1 + 18y) = 0

Subproblem 1
Set the factor '(1 + 18y)' equal to zero and attempt to solve:

Simplifying
1 + 18y = 0

Solving
1 + 18y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 18y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 18y = 0 + -1
18y = 0 + -1

Combine like terms: 0 + -1 = -1
18y = -1

Divide each side by '18'.
y = -0.05555555556

Simplifying
y = -0.05555555556
Subproblem 2
Set the factor '(1 + 18y)' equal to zero and attempt to solve:

Simplifying
1 + 18y = 0

Solving
1 + 18y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 18y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 18y = 0 + -1
18y = 0 + -1

Combine like terms: 0 + -1 = -1
18y = -1

Divide each side by '18'.
y = -0.05555555556

Simplifying
y = -0.05555555556
Solution
y = {-0.05555555556, -0.05555555556}